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Finding the Third Proportional to 153,585 and 232,524

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Solution

The third proportional to 153,585 and 232,524 is: 352,035.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,585 : 232,524 = 232,524 : x
  2. Step 2: Convert to fraction form
    153,585/232,524 = 232,524/x
  3. Step 3: Cross multiply
    153,585x = 232,524 × 232,524
  4. Step 4: Simplify right side
    153,585x = 54,067,410,576
  5. Step 5: Solve for x
    x = 54,067,410,576/153,585
  6. Step 6: Final answer
    x = 352,035.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.